{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RY545ABRRJHABPE36U3VJ5PTXZ","short_pith_number":"pith:RY545ABR","canonical_record":{"source":{"id":"1712.04389","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-12-12T16:55:16Z","cross_cats_sorted":["cs.NA","math.NA","physics.app-ph"],"title_canon_sha256":"2f2d73661d55122cd9a41bebf31b6b91cb3736f1df4877b2465361192f47c31a","abstract_canon_sha256":"11922e034f480835e5f813500fd3667054fbe6c8ec8ac62ee3315546bc27e5f5"},"schema_version":"1.0"},"canonical_sha256":"8e3bce80318a4e00bc9bf53754f5f3be7e85a817bdf9c4658517a685b3c3fb55","source":{"kind":"arxiv","id":"1712.04389","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04389","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04389v4","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04389","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"RY545ABRRJHA","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"pith_short_16","alias_value":"RY545ABRRJHABPE3","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"pith_short_8","alias_value":"RY545ABR","created_at":"2026-07-05T00:05:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RY545ABRRJHABPE36U3VJ5PTXZ","target":"record","payload":{"canonical_record":{"source":{"id":"1712.04389","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-12-12T16:55:16Z","cross_cats_sorted":["cs.NA","math.NA","physics.app-ph"],"title_canon_sha256":"2f2d73661d55122cd9a41bebf31b6b91cb3736f1df4877b2465361192f47c31a","abstract_canon_sha256":"11922e034f480835e5f813500fd3667054fbe6c8ec8ac62ee3315546bc27e5f5"},"schema_version":"1.0"},"canonical_sha256":"8e3bce80318a4e00bc9bf53754f5f3be7e85a817bdf9c4658517a685b3c3fb55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:05:04.446827Z","signature_b64":"d3AMlstP/LEOTFGqrdFYdK3aOiUYr6t8RzaqxnjeX8lS2NIL3w8m7HvRXCjJbLcjVc4Xy+a6z5XExeSl6HkICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e3bce80318a4e00bc9bf53754f5f3be7e85a817bdf9c4658517a685b3c3fb55","last_reissued_at":"2026-07-05T00:05:04.446463Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:05:04.446463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.04389","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/QWubaRdd3d274bDh11mpFyqOrrjsJX7pI5Cqo60p3ncOzDQg9e4S/rNuSIp+AbzVo7ZeKMrw71PguiTcvJPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:44:50.495560Z"},"content_sha256":"5947186d23bc6e1ba1be06e2342fcc78a45658f670160b96112332f19dffece3","schema_version":"1.0","event_id":"sha256:5947186d23bc6e1ba1be06e2342fcc78a45658f670160b96112332f19dffece3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RY545ABRRJHABPE36U3VJ5PTXZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A parameteric class of composites with a large achievable range of effective elastic properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA","physics.app-ph"],"primary_cat":"physics.comp-ph","authors_text":"Davi Colli Tozoni, Denis Zorin, George Ovchinnikov, Igor Ostanin","submitted_at":"2017-12-12T16:55:16Z","abstract_excerpt":"In this paper we investigate numerically an instance of the problem of G-closure for two-dimensional periodic metamaterials. Specifically, we consider composites with isotropic homogenized elasticity tensor, obtained as a mixture of two isotropic materials, focusing on the case of a single material with voids. This problem is important, in particular, in the context of designing small-scale structures for metamaterials in the context of additive fabrication, as this type of metamaterials makes it possible to obtain a range of material properties using a single base material. We demonstrate tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04389","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1712.04389/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8sWhm+p5TPesnvm5oxHGc4ipOCUMx21vqrdAzihjL+ET43RcLfvLbuhA3K19dTo0GqFGmhaC1Jkt4xLgJsPICw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T09:44:50.496074Z"},"content_sha256":"0b30dab661c4dad6b8d6b5d866bfec61cb79d7d806645cd4956152814941ae30","schema_version":"1.0","event_id":"sha256:0b30dab661c4dad6b8d6b5d866bfec61cb79d7d806645cd4956152814941ae30"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RY545ABRRJHABPE36U3VJ5PTXZ/bundle.json","state_url":"https://pith.science/pith/RY545ABRRJHABPE36U3VJ5PTXZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RY545ABRRJHABPE36U3VJ5PTXZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-18T09:44:50Z","links":{"resolver":"https://pith.science/pith/RY545ABRRJHABPE36U3VJ5PTXZ","bundle":"https://pith.science/pith/RY545ABRRJHABPE36U3VJ5PTXZ/bundle.json","state":"https://pith.science/pith/RY545ABRRJHABPE36U3VJ5PTXZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RY545ABRRJHABPE36U3VJ5PTXZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RY545ABRRJHABPE36U3VJ5PTXZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"11922e034f480835e5f813500fd3667054fbe6c8ec8ac62ee3315546bc27e5f5","cross_cats_sorted":["cs.NA","math.NA","physics.app-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-12-12T16:55:16Z","title_canon_sha256":"2f2d73661d55122cd9a41bebf31b6b91cb3736f1df4877b2465361192f47c31a"},"schema_version":"1.0","source":{"id":"1712.04389","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04389","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04389v4","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04389","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"RY545ABRRJHA","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"pith_short_16","alias_value":"RY545ABRRJHABPE3","created_at":"2026-07-05T00:05:04Z"},{"alias_kind":"pith_short_8","alias_value":"RY545ABR","created_at":"2026-07-05T00:05:04Z"}],"graph_snapshots":[{"event_id":"sha256:0b30dab661c4dad6b8d6b5d866bfec61cb79d7d806645cd4956152814941ae30","target":"graph","created_at":"2026-07-05T00:05:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1712.04389/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we investigate numerically an instance of the problem of G-closure for two-dimensional periodic metamaterials. Specifically, we consider composites with isotropic homogenized elasticity tensor, obtained as a mixture of two isotropic materials, focusing on the case of a single material with voids. This problem is important, in particular, in the context of designing small-scale structures for metamaterials in the context of additive fabrication, as this type of metamaterials makes it possible to obtain a range of material properties using a single base material. We demonstrate tha","authors_text":"Davi Colli Tozoni, Denis Zorin, George Ovchinnikov, Igor Ostanin","cross_cats":["cs.NA","math.NA","physics.app-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-12-12T16:55:16Z","title":"A parameteric class of composites with a large achievable range of effective elastic properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04389","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5947186d23bc6e1ba1be06e2342fcc78a45658f670160b96112332f19dffece3","target":"record","created_at":"2026-07-05T00:05:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"11922e034f480835e5f813500fd3667054fbe6c8ec8ac62ee3315546bc27e5f5","cross_cats_sorted":["cs.NA","math.NA","physics.app-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-12-12T16:55:16Z","title_canon_sha256":"2f2d73661d55122cd9a41bebf31b6b91cb3736f1df4877b2465361192f47c31a"},"schema_version":"1.0","source":{"id":"1712.04389","kind":"arxiv","version":4}},"canonical_sha256":"8e3bce80318a4e00bc9bf53754f5f3be7e85a817bdf9c4658517a685b3c3fb55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e3bce80318a4e00bc9bf53754f5f3be7e85a817bdf9c4658517a685b3c3fb55","first_computed_at":"2026-07-05T00:05:04.446463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:05:04.446463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d3AMlstP/LEOTFGqrdFYdK3aOiUYr6t8RzaqxnjeX8lS2NIL3w8m7HvRXCjJbLcjVc4Xy+a6z5XExeSl6HkICA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:05:04.446827Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.04389","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5947186d23bc6e1ba1be06e2342fcc78a45658f670160b96112332f19dffece3","sha256:0b30dab661c4dad6b8d6b5d866bfec61cb79d7d806645cd4956152814941ae30"],"state_sha256":"1eb9c344f931a43185e8ffbe5b64e9035aa5f2c51a72afc9d4182bbb8a43c106"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tNgE/3O9g1w5y/sN65tL4OIJpZbnFTJj42jsfzuB4fArESTrWdHcw/G7umYY73u37fT6RXW3DTcDvWKHva4wBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T09:44:50.501628Z","bundle_sha256":"9c06482137fbb0a56823a009664d3e3d232092a6916dba446ef9c67549e2d562"}}